Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
532 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 139 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13079267 | C2 | semidirect |
| 2. #13070866 | C2 | semidirect |
| 3. #13070859 | C2 | semidirect |
| 4. #13070720 | C2 | semidirect |
| 5. #13070703 | C2 | semidirect |
| 6. #13070491 | C2 | semidirect |
| 7. #13070462 | C2 | semidirect |
| 8. #13070211 | C2 | semidirect |
| 9. C11×#2253 | C2 | semidirect |
| 87. #2253 | D11 | semidirect |
| 205. C11 | #33740 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079267 | 2 |
| #13070866 | 2 |
| #13070859 | 2 |
| #13070720 | 2 |
| #13070703 | 2 |
| #13070491 | 2 |
| #13070462 | 2 |
| #13070211 | 2 |
| C11×#2253 | 2 |
| #33740 | 11 |